Base | Representation |
---|---|
bin | 1100010010001… |
… | …00010110010000 |
3 | 21011212222212010 |
4 | 12021010112100 |
5 | 202334243100 |
6 | 14120302520 |
7 | 2360554221 |
oct | 611042620 |
9 | 234788763 |
10 | 103040400 |
11 | 53188861 |
12 | 2a611a40 |
13 | 18469668 |
14 | d983248 |
15 | 90a5750 |
hex | 6244590 |
103040400 has 120 divisors (see below), whose sum is σ = 349557984. Its totient is φ = 25856000.
The previous prime is 103040381. The next prime is 103040419. The reversal of 103040400 is 4040301.
It is an interprime number because it is at equal distance from previous prime (103040381) and next prime (103040419).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17875 + ... + 22925.
Almost surely, 2103040400 is an apocalyptic number.
103040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 103040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174778992).
103040400 is an abundant number, since it is smaller than the sum of its proper divisors (246517584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103040400 is a wasteful number, since it uses less digits than its factorization.
103040400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5089 (or 5078 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 103040400 is about 10150.8817351007. The cubic root of 103040400 is about 468.8160937914.
Adding to 103040400 its reverse (4040301), we get a palindrome (107080701).
Subtracting from 103040400 its reverse (4040301), we obtain a palindrome (99000099).
The spelling of 103040400 in words is "one hundred three million, forty thousand, four hundred".
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